On the Graovac-Ghorbani index

Author(s):

Modjtaba Ghorbani * , Shaghayegh Rahmani , Ottorino Ori

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:
For the edge e = uv of a graph G, let nu = n(u|G) be the number of vertices of G lying closer to the vertex u than to the vertex v and nv= n(v|G) can be defined simailarly. Then the ABCGG index of G is defined as ABCGG =sum_{e=uv} sqrt{f(u,v)}, where f(u,v)= (nu+nv-2)/nunvThe aim of this paper is to give some new results on this graph invariant. We also calculate the ABCGG of an infinite family of fullerenes.
Keywords:

Atom bond connectivity index , Molecular graphs , topological index

Language:
English
Published:
Iranian Journal of Mathematical Chemistry, Volume:10 Issue: 4, Autumn 2019
Pages:
295 to 305
https://magiran.com/p2101446  
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